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Fofino [41]
3 years ago
14

The sum of two numbers is 22, and their difference is 12. What are the numbers?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

17,5

Step-by-step explanation:

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Solve the system by substitution. 4x+3y=5x=4y+6Options: A. The solution is ____B. There are infinitely many solutions. C. There
zvonat [6]

So we have the following system of equations:

\begin{gathered} 4x+3y=5 \\ x=4y+6 \end{gathered}

We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:

\begin{gathered} 4x+3y=5 \\ 4\cdot(4y+6)+3y=5 \\ 16y+24+3y=5 \\ 16y+3y=5-24 \\ 19y=-19 \\ y=-\frac{19}{19}=-1 \end{gathered}

So y=-1. If we use this value in the second equation:

\begin{gathered} x=4y+6 \\ x=4\cdot(-1)+6 \\ x=-4+6 \\ x=2 \end{gathered}

So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).

5 0
11 months ago
Please help me get this right I don’t know how to do it.
velikii [3]

Answer:

tan∠E=1/3

Step-by-step explanation:

Tangent or opposite/adjacent of angle E is segment HF/3 to solve for HF you can use sine of H opposite over hypotenuse or √8/HF=sin45°. Rearranging the equation you get √8/sin45°=HF and sin45°= 2√2 so √8/2√2=1 HF=1 now you know that tan(∠E)=1/3.

7 0
2 years ago
Please help me I need to get a good grade on this
Julli [10]
1 4/5 - 2/5 = r you minus the total she has already walked or ran from the total she plans on running to get “r”
8 0
3 years ago
Which numbers are equivalent to 25%
allsm [11]

Answer:

.25

1/4

are the numbers equivalent to 25%

5 0
3 years ago
Please help me with this math problem
goldfiish [28.3K]
If you look at the graph you can tell the graph is increasing before x = -2. 

From x = -2 to x = 0, it's decreasing.

Then it's increasing again from x = 0 to x = 2, then decreasing after x = 2

So answer is the last one
It is increasing before x = -2 and from x = 0 to x = 2
3 0
3 years ago
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